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Finding the Fourth Proportional to 891.40, 1,345.75 and 886.60

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Solution

The fourth proportional to 891.40, 1,345.75 and 886.60 is: 1,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.40 : 1,345.75 = 886.60 : x
  2. Step 2: Convert to fraction form
    891.40/1,345.75 = 886.60/x
  3. Step 3: Cross multiply
    891.40x = 1,345.75 × 886.60
  4. Step 4: Simplify right side
    891.40x = 1,193,141.95
  5. Step 5: Solve for x
    x = 1,193,141.95/891.40
  6. Step 6: Final answer
    x = 1,338.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.